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# The sum of the squares of a triangle's two sides

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Intern
Joined: 08 May 2011
Posts: 21
The sum of the squares of a triangle's two sides  [#permalink]

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14 Jul 2017, 09:54
00:00

Difficulty:

45% (medium)

Question Stats:

86% (00:39) correct 14% (00:24) wrong based on 7 sessions

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The sum of the squares of a triangle's two sides, other than its longest side, does not equal the triangles third side. The angles of the triangle can be any of the following EXCEPT:

a) 5
b) 25
c) 60
d) 90
e) 110

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Senior Manager
Joined: 24 Apr 2016
Posts: 331
Re: The sum of the squares of a triangle's two sides  [#permalink]

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14 Jul 2017, 11:05
If "The sum of the squares of a triangle's two sides equals the square of its longest side", then the triangle is a Right Angled Triangle.

In this case the above is not true, so clearly the triangle in question is not a Right Angled Triangle.

Therefore, 90 cannot be an angle of the triangle.

Manager
Status: IF YOU CAN DREAM IT, YOU CAN DO IT
Joined: 03 Jul 2017
Posts: 190
Location: India
Re: The sum of the squares of a triangle's two sides  [#permalink]

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15 Jul 2017, 00:48
since the sides of the triangle is not equal to the third side then the triangle is not a right triangle and hence the angle cannot be 90 degrees. So the answer is D

--== Message from the GMAT Club Team ==--

THERE IS LIKELY A BETTER DISCUSSION OF THIS EXACT QUESTION.
This discussion does not meet community quality standards. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.
Re: The sum of the squares of a triangle's two sides   [#permalink] 15 Jul 2017, 00:48
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# The sum of the squares of a triangle's two sides

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